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arxiv: 2606.05862 · v1 · pith:UG35RO2Knew · submitted 2026-06-04 · ❄️ cond-mat.soft · physics.chem-ph

Aqueous-alcohol mixtures in dimension two: miscibility and micro-segregation

Camille de la Vaissiere , Ayse Butuner , Aur\'elien Perera This is my paper

Pith reviewed 2026-06-27 23:50 UTC · model grok-4.3

classification ❄️ cond-mat.soft physics.chem-ph
keywords aqueous-alcohol mixturestwo-dimensional modelsmiscibilitymicro-segregationMonte Carlo simulationsKirkwood-Buff integralshydrogen bondingcharge ordering
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The pith

Two-dimensional water-alcohol mixtures remain fully miscible at all proportions while developing stronger micro-segregation with longer alcohol chains.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper uses Monte Carlo simulations of two-dimensional site interaction models to mix water with methanol, pentanol, and octanol. It establishes that these 2D mixtures stay completely mixed unlike real three-dimensional alcohols, which phase-separate from butanol onward. Micro-segregation grows with alkyl tail length because fluctuations reorganize under charge ordering rather than from two-dimensional fluctuation strength alone. Water promotes its own clustering, yet alcohol-water contacts at the edges of water domains block macroscopic separation. The work tracks this local heterogeneity through pair correlation functions, structure factors, and Kirkwood-Buff integrals to show the competition between energy-driven local order and entropy-driven global mixing.

Core claim

While real alcohols demix with water from butanol onward, their 2D analogs are always fully miscible, while developing increasingly pronounced micro-segregation as the alcohol tail length increases. This is not a consequence of the intrinsically higher fluctuations in 2D, but rather a reorganization of these fluctuations under the charge ordering mechanism. Water drives the micro-segregation through strong self-aggregation, but this is not enough to achieve full phase separation because of the water-alcohol contact at the outer rim of the water domains.

What carries the argument

Monte Carlo simulations of two-dimensional site interaction models of water and alcohols, monitored through pair correlation functions, structure factors, and Kirkwood-Buff integrals.

If this is right

  • Micro-segregation becomes more pronounced as alcohol tail length increases because water self-aggregation strengthens while rim contacts still prevent full separation.
  • The absence of clear local self-averaging in Kirkwood-Buff integrals reflects the ongoing tension between energy-driven local structures and entropy-driven global homogeneity.
  • Two-dimensional models of hydrogen-bonding mixtures can isolate the role of charge ordering in fluctuation reorganization without invoking higher intrinsic fluctuations.
  • Local heterogeneity persists across all concentrations yet never reaches macroscopic demixing in these 2D systems.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Dimensionality may control phase separation in hydrogen-bonded liquids more through the geometry of charge ordering than through the magnitude of fluctuations alone.
  • Similar 2D models could be applied to other micro-heterogeneous mixtures such as surfactants or aqueous solutions of larger amphiphiles to test the generality of rim-contact stabilization.
  • Experimental realization of aqueous-alcohol systems confined to two dimensions, for example in thin films or on surfaces, could directly test the predicted absence of demixing.
  • The reorganization of fluctuations under charge ordering suggests that reduced-dimensional models might clarify micro-heterogeneity in three-dimensional systems where direct observation is harder.

Load-bearing premise

The two-dimensional site interaction models capture the essential hydrogen bonding and interaction physics of real three-dimensional aqueous-alcohol systems well enough to compare miscibility and micro-segregation directly.

What would settle it

A simulation or experiment in two dimensions that shows macroscopic phase separation for pentanol or octanol mixtures with water would falsify the claim of universal miscibility.

Figures

Figures reproduced from arXiv: 2606.05862 by Aur\'elien Perera, Ayse Butuner, Camille de la Vaissiere.

Figure 1
Figure 1. Figure 1: Representation of the water and alcohol models (left), the site interac [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Snapshot of the 2D aqueous methanol mixtures for concentrations [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Snapshot of the 2D aqueous pentanol mixtures for concentrations [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Snapshot of the 2D aqueous octanol mixtures for concentrations [PITH_FULL_IMAGE:figures/full_fig_p006_4.png] view at source ↗
Figure 3.2
Figure 3.2. Figure 3.2: Fig.3.2.2 shows a comparison between the typical pair correlations in the mix [PITH_FULL_IMAGE:figures/full_fig_p007_3_2.png] view at source ↗
Figure 5
Figure 5. Figure 5: Typical log-log scale site-site correlation functions [PITH_FULL_IMAGE:figures/full_fig_p008_5.png] view at source ↗
Figure 3.2
Figure 3.2. Figure 3.2: Fig.3.2.2, water correlations are more structured than the alcohol correlations [PITH_FULL_IMAGE:figures/full_fig_p009_3_2.png] view at source ↗
Figure 6
Figure 6. Figure 6: Different types of oxygen-oxygen pair correlation functions for three [PITH_FULL_IMAGE:figures/full_fig_p009_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: Oxygen-oxygen pair correlation functions for three different pentanol [PITH_FULL_IMAGE:figures/full_fig_p010_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: Oxygen-oxygen pair correlation functions for three different octanol [PITH_FULL_IMAGE:figures/full_fig_p011_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: Different types of oxygen-oxygen structure factors for three different [PITH_FULL_IMAGE:figures/full_fig_p012_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: Oxygen-oxygen structure factors for three different pentanol concen [PITH_FULL_IMAGE:figures/full_fig_p013_10.png] view at source ↗
Figure 11
Figure 11. Figure 11: Oxygen-oxygen structure factors for three different octanol concen [PITH_FULL_IMAGE:figures/full_fig_p014_11.png] view at source ↗
Figure 12
Figure 12. Figure 12: Different oxygen-oxygen running Kirkwood-Buff integrals (RKBI) for [PITH_FULL_IMAGE:figures/full_fig_p016_12.png] view at source ↗
Figure 13
Figure 13. Figure 13: Same as in Fig.12 but for the 50% methanol aqueous mixtures [PITH_FULL_IMAGE:figures/full_fig_p017_13.png] view at source ↗
Figure 14
Figure 14. Figure 14: Same as in Fig.12 but for the 80% methanol aqueous mixtures [PITH_FULL_IMAGE:figures/full_fig_p017_14.png] view at source ↗
Figure 15
Figure 15. Figure 15: Same as in Fig.12 but for the 20% octanol aqueous mixtures. The [PITH_FULL_IMAGE:figures/full_fig_p018_15.png] view at source ↗
Figure 16
Figure 16. Figure 16: Same as in Fig.12 but for the 50% octanol aqueous mixtures [PITH_FULL_IMAGE:figures/full_fig_p019_16.png] view at source ↗
Figure 17
Figure 17. Figure 17: Same as in Fig.12 but for the 80ù octanol aqueous mixtures. 19 [PITH_FULL_IMAGE:figures/full_fig_p019_17.png] view at source ↗
read the original abstract

Two dimensional site interaction models of water and alcohols are mixed in various proportions and studied by Monte Carlo simulations, with the purpose to clarify problems related to simulation of real micro-heterogeneous systems. Three alcohols are considered, methanol, pentanol and octanol. The main finding is that, while real alcohols demix with water from butanol onward, their 2D analogs are always fully miscible, while developing increasingly pronounced micro-segregation as the alcohol tail length increases. This is not a consequence of the intrinsically higher fluctuations in 2D, but rather a reorganization of these fluctuations under the charge ordering mechanism. The second finding is that water drives the micro-segregation through strong self-aggregation, but this is not enough to achieve full phase separation because of the water-alcohol contact at the outer rim of the water domains. In this work we examine how this local heterogeneity develops with increasing alcohol alkyl tails, monitored with the study of pair correlation functions, structure factors and Kirkwood-Buff integrals. The absence of clear local self-averaging of the latter provides an illustration of the tension between energy driven maintaining of local structures and entropy driven global homogeneity. In that, the 2D modelisation of real hydrogen bonding mixtures allows to better capture and reveal the physics behind the chemistry of these liquids.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

0 major / 3 minor

Summary. The paper reports Monte Carlo simulations of two-dimensional site interaction models for aqueous mixtures with methanol, pentanol, and octanol. It claims that, unlike real three-dimensional alcohols which undergo macroscopic demixing from butanol onward, the 2D analogs remain fully miscible at all compositions while developing increasingly pronounced micro-segregation with longer alkyl tails. This is attributed to reorganization of thermal fluctuations under the charge-ordering mechanism rather than the intrinsically larger fluctuations in 2D. Water self-aggregation drives the local heterogeneity, but water-alcohol contacts at the rims of water domains prevent full phase separation. The development of heterogeneity is monitored via pair correlation functions, structure factors, and Kirkwood-Buff integrals, which illustrate the competition between energy-driven local structures and entropy-driven global homogeneity.

Significance. If the central simulation results hold, the work provides a clear demonstration that dimensionality can qualitatively alter phase behavior in hydrogen-bonding mixtures while preserving micro-heterogeneity, offering a controlled setting to study the statistical mechanics of local versus global mixing. The systematic comparison across three alcohols of increasing chain length strengthens the tail-length dependence. The analysis of Kirkwood-Buff integrals to highlight the absence of local self-averaging supplies a useful illustration of the energy-entropy tension in such systems. The mapping to real 3D chemistry is presented as an intended scope rather than a direct quantitative prediction, which is internally consistent with the observables reported.

minor comments (3)
  1. [Abstract] Abstract: the summary provides no numerical values, error estimates, system sizes, or explicit criteria used to establish full miscibility versus micro-segregation; adding these would allow readers to assess the strength of the claims directly from the abstract.
  2. [Results] Results section: the quantification of micro-segregation (e.g., via domain-size distributions or specific thresholds on the structure factor) should be stated more explicitly so that the increasing trend with tail length can be reproduced from the reported data.
  3. [Discussion] The manuscript would benefit from a short paragraph comparing the 2D charge-ordering mechanism to an auxiliary simulation without electrostatics (if performed) or to a simple lattice model, to make the attribution to charge ordering more direct.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the careful reading and positive assessment of our work, including the accurate summary of the central findings on dimensionality effects in hydrogen-bonding mixtures and the recommendation for minor revision.

Circularity Check

0 steps flagged

No significant circularity; results from direct Monte Carlo simulations

full rationale

The paper's central claims on 2D miscibility and micro-segregation derive from Monte Carlo simulations of three explicit site-interaction models (methanol, pentanol, octanol). Observables such as pair correlation functions, structure factors, and Kirkwood-Buff integrals are computed directly from the simulation trajectories. No parameters are fitted to the target miscibility outcomes, no self-citation chain justifies the core mechanism, and the charge-ordering reorganization is presented as an emergent simulation result rather than an input. The mapping to real 3D systems is acknowledged as an assumption but does not create internal circularity within the 2D study itself.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The paper relies on the domain assumption that the chosen 2D site interaction models are representative for comparing to real 3D behavior. No free parameters or invented entities are specified in the abstract.

axioms (1)
  • domain assumption The 2D site interaction models accurately represent the key interactions in real aqueous-alcohol systems for the purpose of studying miscibility and micro-segregation.
    This premise is required to draw the comparison between 2D simulation results and real 3D demixing behavior.

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